Inner functions and Pick-Nevanlinna interpolation in a multi-connected domain
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908665507741696 |
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| author | Crouzeix, Michel |
| author_facet | Crouzeix, Michel |
| contents | We describe the set of inner functions of finite order in a multi-connected domain, then we consider an optimization formulation of the Pick-Nevanlinna interpolation problem, and we generalize it to Hermite type interpolation. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_15305 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Inner functions and Pick-Nevanlinna interpolation in a multi-connected domain Crouzeix, Michel Complex Variables Functional Analysis We describe the set of inner functions of finite order in a multi-connected domain, then we consider an optimization formulation of the Pick-Nevanlinna interpolation problem, and we generalize it to Hermite type interpolation. |
| title | Inner functions and Pick-Nevanlinna interpolation in a multi-connected domain |
| topic | Complex Variables Functional Analysis |
| url | https://arxiv.org/abs/2511.15305 |